MathDB
2015 Geometry #2

Source:

July 1, 2022
2015Geometry Test

Problem Statement

There is a rectangular field that measures 20m20\text{m} by 15m15\text{m}. Xiaoyu the butterfly is sitting at the perimeter of the field on one of the 20m20\text{m} sides such that he is 6m6\text{m} from a corner. He flies in a straight line to another point on the perimeter. His flying path splits the field into two parts with equal area. How far in meters did Xiaoyu fly?